(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A sphere of a mass m and radius R is fired straight up with a speed v_{0}

a) What is its speed when it hits the ground (Include quadratic air resistance but ignore linear air resistance

b) Evaluate the result for part (a) with R = 0.2c, v_{0}= 1.3m/s and m = 100mg

I am puzzled with regards to whether or not I should include the upward motion and solving the question entirely

2. Relevant equations

mg -cv^{2}= m[itex]\frac{dv}{dt}[/itex]

3. The attempt at a solution

After following my class notes, I found that the final velocity as a function of time is:

v(t) = v_{terminal}*tanh(gt/v_{terminal}})

Any help is greatly appreciated,

thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# What is the speed when a ball hits the ground

**Physics Forums | Science Articles, Homework Help, Discussion**